max f(x, y, z) = -xz-x² + y-yz - y² - 3z² x,y,z ...5] Express V f(x, y, z) = 0 in the form Ax = b and use Cramer's rule to show that: 1 11 1 = 2²/₁² = 120¹²² ‚yª 20 10 "Prove" your answer by "showing" the essential steps/arguments. Perform the second order condition "check" to confirm that x*,y*,z* in part (a) solves the optimization problem above. "Prove" your answer by "showing" the essential steps/arguments.
max f(x, y, z) = -xz-x² + y-yz - y² - 3z² x,y,z ...5] Express V f(x, y, z) = 0 in the form Ax = b and use Cramer's rule to show that: 1 11 1 = 2²/₁² = 120¹²² ‚yª 20 10 "Prove" your answer by "showing" the essential steps/arguments. Perform the second order condition "check" to confirm that x*,y*,z* in part (a) solves the optimization problem above. "Prove" your answer by "showing" the essential steps/arguments.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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